p(x)=(x-6)(x-9)

Solution for p(x)=(x-6)(x-9) equation:

Simplifying
p(x) = (x + -6)(x + -9)

Multiply p * x
px = (x + -6)(x + -9)

Reorder the terms:
px = (-6 + x)(x + -9)

Reorder the terms:
px = (-6 + x)(-9 + x)

Multiply (-6 + x) * (-9 + x)
px = (-6(-9 + x) + x(-9 + x))
px = ((-9 * -6 + x * -6) + x(-9 + x))
px = ((54 + -6x) + x(-9 + x))
px = (54 + -6x + (-9 * x + x * x))
px = (54 + -6x + (-9x + x2))

Combine like terms: -6x + -9x = -15x
px = (54 + -15x + x2)

Solving
px = 54 + -15x + x2

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Divide each side by 'x'.
p = 54x-1 + -15 + x

Simplifying
p = 54x-1 + -15 + x

Reorder the terms:
p = -15 + 54x-1 + x